Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling
Idioma
en
Article de revue
Este ítem está publicado en
Applicable Analysis. 2021-07-09p. 1-30
Taylor & Francis
Resumen en inglés
In this paper, we prove a stability estimate of the conductivity parameters identification problem in cardiac electrophysiology. The propagation of the electrical wave in the heart is described by the monodomain model ...Leer más >
In this paper, we prove a stability estimate of the conductivity parameters identification problem in cardiac electrophysiology. The propagation of the electrical wave in the heart is described by the monodomain model coupled to an elliptic equation describing the diffusion of the electrical wave in the whole body. Our result concerns both heart and torso conductivity parameters. The main difficulty that we solve in this paper is related to the transmission conditions between the heart and the torso. We first, establish Carleman estimates for the coupled heart-torso system. Then, using these estimates and the Bukhgeim and Klibanov approach, we prove a Lipschitz stability estimate of cardiac and torso conductivity parameters.< Leer menos
Palabras clave en inglés
Inverse problem
Stability estimate
Carleman estimate
Cardiac electrophysiology
Conductivity parameters
Proyecto ANR
L'Institut de Rythmologie et modélisation Cardiaque - ANR-10-IAHU-0004
Orígen
Importado de HalCentros de investigación